Symmetric 112-Designs and 112-Difference Sets

被引：30

作者：

Olmez, Oktay ^{[1
]}

机构：

[1] Iowa State Univ, Dept Math, Ames, IA 50011 USA

来源：

JOURNAL OF COMBINATORIAL DESIGNS | 2014年 / 22卷 / 06期

关键词：

partial geometric design; 112-design; tactical configuration; difference set;

D O I：

10.1002/jcd.21354

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce a method to construct 112-designs, which are also known as partial geometric designs, by using subsets of certain finite groups. We introduce the concept of 112-difference sets and investigate the existence and nonexistence of these structures. We also provide some nonexistence results on 112-designs based on the fact that 112-designs yield directed strongly regular graphs.

引用

页码：252 / 269

页数：18

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